On a cool autumn evening of 70 degrees Fahrenheit, Detective Albert Gebra is investigating a murder/crime scene. Al assumes that the victim had a normal body temperature of 98.6 degrees Fahrenheit when he died (at time m = 0) and Al finds that the body cooled from 85.7 degrees to 81.3 degrees in 11 minutes. (a) Use this information to find the constants in the function and clearly state your complete model. You may use the nspire to solve any algebraic equation as long as the equation that you are solving is clearly identified. 2. (b). If at 9:48 PM the body temperature was taken to be 78.4 degrees, use your model to estimate the time of death. Show all steps.

Q: Y₁ Ly2₂ Sketch solution curves in the phase plane for the following ODE system: 5 4 A₁ = −1, V₁…

A:

Q: Question 7 Consider the space curve (t) = (t - 1, −3t + 4, 4t + 2). a. Find the arc length function…

A:

Q: 4. What are all the possible combinations of truth values for p, q, a proposition true: (p q) Ar.

A: To find the truth values of p, q and r that make the compound proposition (p⊕q)∧r true . Lets find…

Q: The vectors listed in Eq. (10) are used in several of the exercises that follow. VI = [2]· 2 -[3].…

A:

Q: the line through the points p and q is formed with "p + λ(q − p)." Why is the direction given by q-p…

A: The expression "p + λ(q - p)" represents a parametric equation for a line passing through points P…

Q: 3 Let A, B, C be three sets. Prove that if A \ B ≤ C, then A \ C ≤ B.

A:

Q: Reduce the matrix duced row-echelon form. 3 3 12 480 A = -1 6 -2 -1 -6

A:

Q: The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross…

A: We have given data: YX1X29651.590229541.5922.52.59533.3943.52.3942.54.29432.5

Q: A singular value decomposition -0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 A = UEVT = -0.5 0.5 0.5…

A:

Q: H>> 5. Which function is decreasing on the interval (0,-) and has a horizontal asymptote at y=-1? A.…

A:

Q: Consider the space curve r(t) = (2 cos(t), 2t, 2 sin(t)). a. Find the arc length function for r(t).…

A: To find:a. We have to find the arc length for .b. We have to find the arc length parameterization…

Q: Use sigma notation to write the sum. | 3 3 9η 9η [(;) - ;](;)+...+ [(m)* - n](;) Σ j = 1 n

A:

Q: x = 2x y = x + y

A:

Q: Consider the following optimization problem (P) min X1 s.t. x² +ax ≤ 1 ax² X₂ ≤ 1 where a is a…

A: Since, there are multiple questions given, according to Bartleby guidelines, we will solve only 1st…

Q: Find the volume of the largest box of the type shown in the figure, with one corner at the origin…

A:

Q: (16) Solve for the matrix 1 -2 3 4 S the matrix XGM ₂ (R): 1-12 L 5 X = 7 0 8 f 1 4 1 3

A: (.) Given,        where  .(.)  Gauss - Jordan method: Let  be an matrix. We write  where  is an…

Q: Select all of the following tables which could represent a linear function. U 8 0 5 10 15 X 0 5 10…

A:

Q: Use the Euler's Method to approximate the solution of the equation. Complete the table. dy dx x+2y²,…

A: Given y′=x+2y2, y(0)=2, Δx=0.05,  n= 5 so we have to find y(0.25)Euler methodyn=yn−1+Δxf(xn−1,yn−1)

Q: 8 -2 Find A(BC) given that A = 0 - 7 1 4 B= -6 -6 - 9 - 1 and C= 3 -1 - 3 3 If an operation is not…

A:

Q: A differential equation and a nontrivial solution fare given below. Find a second linearly…

A:

Q: Consider the point P(5, -8, 0) and the sphere x^2 + y^2 + z^2 = 9. Find the point on the sphere that…

A:

Q: Let P ={xER: Ax ≤ b}, RP = R¹ max {c'x : x € Pn Z"}. Show that: max{c'x x € P} and IP = (a) RP is a…

A: To show that RP is a relaxation of IP, we need to show that the feasible set of RP is a superset of…

Q: Find the value of lambda for which the homogeneous Fredholm integral equation has a nontrivial…

A: The Fredholm integral equation is Divide both sides by So,

Q: In estimating involved in the approximation using the Error Bound formulas. For Trapezoidal rule,…

A: We have, , with Approximate the errors bound by using:Trapezoidal ruleSimpson's ruleLet Find its…

Q: 4. In Silverman's E-world¹, the E-numbers (even numbers) are the set E = {...,-4, -2,0, 2, 4, 6,…

A:

Q: Let P₂ (R) be the vector space of polynomials of degree at most 2. Which of the following are…

A:

Q: Given a demand curve of P = 238 - 1Qd and supply of P = 3 + 6Qs, find the total tax revenue raised…

A: The demand curve of And the supply curve is

Q: 14. Let the following statements be given. p = "Andy is hungry." q = "The refrigerator is empty." r…

A: As asked we shall solve only question 14.a) Given statement: If Andy is hungry and the refrigerator…

Q: In Exercises 9-12, verify that the given matrix A does not have an inverse. [Hint: One of AB = I or…

A:

Q: Could you perhaps draw this?

A: Given lines arel: X=(1−22)+λ(111)m: X=(203)+μ(1−10)n: X=(321)+ν(634)The line n is parallel to the…

Q: Consider the following recurrence relation: a1 = 3, an = 2an 1-1. (a) Evaluate a2, ..., as using the…

A:

Q: Given the data f(x) + 1 3 2 6 3 19 5 99 7 291 8 444 (a) Calculate f(4) using Newton's interpolating…

A: The value of table for x and yx123578y361999291444Numerical divided differences method to find…

Q: please solve d,e,f, and g would be much appreciated thanks

A:

Q: Prove the following using mathematical induction: For all natural numbers n, 3^(n+2) > (n + 3)^2.

A:

Q: The characteristic polynomial of the matrix A = is p(X) = (A + 2)\³ The matrix has two real…

A:

Q: Let 7(t) = (2t² + 5, 4e³t, 3 sin(–5t)) T Find the unit tangent vector T(t) at the point t T(0) =…

A:

Q: 1. A rectangular animal enclosure is to be constructed having one side along an existing wall and…

A: Totla length of the fencing is To tal number of side enclosed is We have to maximize the area…

Q: Find the arc length (s) of the curve S = F(t) = (16 sin(-2t), 14 cos(-2t), 2√15 cos(-2t)) for 0 <t<T

A: Given curve: Where We have to find the arc length of the given curve.

Q: A ball is thrown straight up with an initial velocity of 224 ft/sec, so its height (in feet) is…

A: Note :  “Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: Parts a-c

A:

Q: Let x € Z. Prove that if 3x + 7 is even then x is odd.

A:

Q: 0 1 0 0 2 3 1 1 1 6 −1 -4 2 2 2 0 3 0 0 12 0 3 1 0 0 7 001 100 10 What variables are currently in…

A: In the context of the given tableau for the simplex algorithm, we have to determine which variables…

Q: 4.3-1 Use the substitution method to show that each of the following recurrences defined on the…

A: The substitution method for solving recurrences consists of three steps:Guess the form of the…

Q: 1. Determine and classify equilibrium solutions. Sketch the graph of several solutions. dy = y² -8y…

A: We will find equilibrium solution by using  y'=0 and then identify type of equilibrium using sign of…

Q: Q5: Find (a) x(t), (b) x(t), (c) x(t), and (d) x(t) Find the solution to the system that satisfies…

A:

Q: For the probability density function, over the given interval, find E(x), E(x²), the mean, the…

A:

Q: Enter points in (x, y) format and show steps for finding: the axis of symmetry, the vertex of the…

A: Given equation of the parabola is

Q: Consider the initial value problem fty" + (2t + 5) y' + (t + 5) y = 0 {y(1) = -—_and_y'(1) = - 6 9 e…

A:

Q: 17.6 Find a maximal ideal in a) Zo;

A:

Q: Find the minimum value of the function z =2x+12y subject to the following constraints. x≤15 y≤ 13…

A: